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Byju's Answer
Standard XII
Mathematics
Equation of Circle in Complex Form
Consider a sp...
Question
Consider a sphere passing through the origin and the points
(
2
,
1
,
−
1
)
,
(
1
,
5
,
−
4
)
,
(
−
2
,
4
,
−
6
)
.
What is the centre of the sphere?
A
(
−
1
,
2
,
−
3
)
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B
(
1
,
−
2
,
3
)
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C
(
1
,
2
,
−
3
)
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D
(
−
1
,
−
2
,
−
3
)
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Solution
The correct option is
A
(
−
1
,
2
,
−
3
)
Distance between the point
(
1
,
1
,
1
)
So the centre of the sphere
(
−
1
,
2
,
−
3
)
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0
Similar questions
Q.
Consider a sphere passing through the origin and the points
(
2
,
1
,
−
1
)
,
(
1
,
5
,
−
4
)
,
(
−
2
,
4
,
−
6
)
.
What is the radius of the sphere?
Q.
Consider a sphere passing through the origin and the points
(
2
,
1
,
−
1
)
,
(
1
,
5
,
−
4
)
,
(
−
2
,
4
,
−
6
)
.
Consider the following statements:
1
. The sphere passes through the point
(
0
,
4
,
0
)
.
2
. The point
(
1
,
1
,
1
)
is at a distance of
5
unit from the centre of the sphere.
Which of the statements is
/
are correct?
Q.
The distance of origin from the plane passing through points
A
(
3
,
−
2
,
−
2
)
,
B
(
1
,
2
,
−
3
)
and
C
(
2
,
1
,
−
1
)
,
is
p
√
62
,
the value of
p
is
Q.
Find the equation of the sphere through the points
(
4
,
−
1
,
2
)
,
(
0
,
−
2
,
3
)
,
(
1
,
5
,
−
1
)
and
(
2
,
0
,
1
)
.
Q.
Line 1 passes through the origin and the point (1,2).
Line 2 passes through the points (1,3) and (2,5).
Line 3 passes through the origin and the point (-2,1).
Which of these are parallel and which are perpendicular?
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